My name is Alexander FufaeV and here I write about:
RMS Values of Voltage and Current. Why?
Using the RMS (»Root Mean Square«) values for sinusoidal voltage \( U_{\text{rms}} ~=~ \frac{U_0}{\sqrt{2}} \) and current \( I_{\text{rms}} ~=~ \frac{I_0}{\sqrt{2}} \), the formula for electric power can be written in the following form:
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Power formula for RMS values
P ~=~ U_{\text{rms}} \, I_{\text{rms}}
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The equation has the same form as the electric power for DC current and DC voltage:
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Power formula for DC voltage
P ~=~ U_{0} \, I_{0}
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